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Encyclopedia > Arend Heyting

Arend Heyting (May 9, 1898 – July 9, 1980) was a Dutch mathematician and logician. He was a student of L. E. J. Brouwer, and did much to put intuitionistic logic on a footing where it could become part of mathematical logic (which in a definite sense ran counter to some of the initial intentions of its founder). May 9 is the 129th day of the year in the Gregorian Calendar (130th in leap years). ... 1898 (MDCCCXCVIII) was a common year starting on Saturday (see link for calendar) of the Gregorian calendar (or a common year starting on Monday of the 12-day-slower Julian calendar). ... July 9 is the 190th day of the year (191st in leap years) in the Gregorian Calendar, with 175 days remaining. ... 1980 (MCMLXXX) was a leap year starting on Tuesday. ... This article is in need of attention from an expert on the subject. ... A logician is a philosopher, mathematician, or other whose topic of scholarly study is logic. ... Luitzen Egbertus Jan Brouwer (February 27, 1881 - December 2, 1966), usually cited as L. E. J. Brouwer, was a Dutch mathematician, a graduate of the University of Amsterdam, who worked in topology, set theory, and measure theory and complex analysis. ... Intuitionistic logic, or constructivist logic, is the logic used in mathematical intuitionism and other forms of mathematical constructivism. ... Mathematical logic is a discipline within mathematics, studying formal systems in relation to the way they encode intuitive concepts of proof and computation as part of the foundations of mathematics. ...


He was born in Amsterdam, Netherlands, and died in Lugano, Switzerland. Amsterdam Location Flag Country The Netherlands Province North Holland Population 742,951(1 January 2005) Coordinates 52°22′N 4°54′E Website www. ... Location within Switzerland Lugano is a city in south-east Switzerland, in the Italian speaking canton of Ticino, which borders Italy. ...


See also

In mathematics, Heyting algebras are special partially ordered sets that constitute a generalization of Boolean algebras. ... Heyting arithmetic is the basic arithmetic of intuitionism (not to be confused with Heyting algebra). ...

External link

  • John J. O'Connor and Edmund F. Robertson. Arend Heyting at the MacTutor archive.

  Results from FactBites:
 
Heyting algebra (948 words)
Heyting algebras arise as models of intuitionistic logic, a logic in which the law of excluded middle does not in general hold.
A Heyting algebra H is a bounded lattice such that for all a and b in H there is a greatest element x of H such that a ^ x ≤ b.
Arend Heyting (1898-1980) was himself interested in clarifying the foundational status of intuitionistic logic, in introducing this type of structures.
  More results at FactBites »

 

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